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Finding the Fourth Proportional to 50,645.99, 75,969.04 and 13,206.03

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Solution

The fourth proportional to 50,645.99, 75,969.04 and 13,206.03 is: 19,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645.99 : 75,969.04 = 13,206.03 : x
  2. Step 2: Convert to fraction form
    50,645.99/75,969.04 = 13,206.03/x
  3. Step 3: Cross multiply
    50,645.99x = 75,969.04 × 13,206.03
  4. Step 4: Simplify right side
    50,645.99x = 1,003,249,454.33
  5. Step 5: Solve for x
    x = 1,003,249,454.33/50,645.99
  6. Step 6: Final answer
    x = 19,809.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.